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Finding the Third Proportional to 71,527 and 97,032

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Solution

The third proportional to 71,527 and 97,032 is: 131,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,527 : 97,032 = 97,032 : x
  2. Step 2: Convert to fraction form
    71,527/97,032 = 97,032/x
  3. Step 3: Cross multiply
    71,527x = 97,032 × 97,032
  4. Step 4: Simplify right side
    71,527x = 9,415,209,024
  5. Step 5: Solve for x
    x = 9,415,209,024/71,527
  6. Step 6: Final answer
    x = 131,631.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.