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Finding the Third Proportional to 66,430 and 97,092

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Solution

The third proportional to 66,430 and 97,092 is: 141,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,430 : 97,092 = 97,092 : x
  2. Step 2: Convert to fraction form
    66,430/97,092 = 97,092/x
  3. Step 3: Cross multiply
    66,430x = 97,092 × 97,092
  4. Step 4: Simplify right side
    66,430x = 9,426,856,464
  5. Step 5: Solve for x
    x = 9,426,856,464/66,430
  6. Step 6: Final answer
    x = 141,906.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.