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Finding the Third Proportional to 101,587.50 and 233,637.75

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Solution

The third proportional to 101,587.50 and 233,637.75 is: 537,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,587.50 : 233,637.75 = 233,637.75 : x
  2. Step 2: Convert to fraction form
    101,587.50/233,637.75 = 233,637.75/x
  3. Step 3: Cross multiply
    101,587.50x = 233,637.75 × 233,637.75
  4. Step 4: Simplify right side
    101,587.50x = 54,586,598,225.06
  5. Step 5: Solve for x
    x = 54,586,598,225.06/101,587.50
  6. Step 6: Final answer
    x = 537,335.78

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.