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Finding the Third Proportional to 66,513 and 97,824.38

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Solution

The third proportional to 66,513 and 97,824.38 is: 143,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513 : 97,824.38 = 97,824.38 : x
  2. Step 2: Convert to fraction form
    66,513/97,824.38 = 97,824.38/x
  3. Step 3: Cross multiply
    66,513x = 97,824.38 × 97,824.38
  4. Step 4: Simplify right side
    66,513x = 9,569,608,344.14
  5. Step 5: Solve for x
    x = 9,569,608,344.14/66,513
  6. Step 6: Final answer
    x = 143,875.76

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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.