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Finding the Third Proportional to 101,400.75 and 157,637.25

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Solution

The third proportional to 101,400.75 and 157,637.25 is: 245,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,400.75 : 157,637.25 = 157,637.25 : x
  2. Step 2: Convert to fraction form
    101,400.75/157,637.25 = 157,637.25/x
  3. Step 3: Cross multiply
    101,400.75x = 157,637.25 × 157,637.25
  4. Step 4: Simplify right side
    101,400.75x = 24,849,502,587.56
  5. Step 5: Solve for x
    x = 24,849,502,587.56/101,400.75
  6. Step 6: Final answer
    x = 245,062.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.