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Finding the Third Proportional to 121,933.13 and 187,564.13

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Solution

The third proportional to 121,933.13 and 187,564.13 is: 288,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,933.13 : 187,564.13 = 187,564.13 : x
  2. Step 2: Convert to fraction form
    121,933.13/187,564.13 = 187,564.13/x
  3. Step 3: Cross multiply
    121,933.13x = 187,564.13 × 187,564.13
  4. Step 4: Simplify right side
    121,933.13x = 35,180,300,987.02
  5. Step 5: Solve for x
    x = 35,180,300,987.02/121,933.13
  6. Step 6: Final answer
    x = 288,521.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.