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Finding the Third Proportional to 65,575.13 and 96,210.56

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Solution

The third proportional to 65,575.13 and 96,210.56 is: 141,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,575.13 : 96,210.56 = 96,210.56 : x
  2. Step 2: Convert to fraction form
    65,575.13/96,210.56 = 96,210.56/x
  3. Step 3: Cross multiply
    65,575.13x = 96,210.56 × 96,210.56
  4. Step 4: Simplify right side
    65,575.13x = 9,256,472,336.57
  5. Step 5: Solve for x
    x = 9,256,472,336.57/65,575.13
  6. Step 6: Final answer
    x = 141,158.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.