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Finding the Third Proportional to 61,386 and 97,049

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Solution

The third proportional to 61,386 and 97,049 is: 153,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,386 : 97,049 = 97,049 : x
  2. Step 2: Convert to fraction form
    61,386/97,049 = 97,049/x
  3. Step 3: Cross multiply
    61,386x = 97,049 × 97,049
  4. Step 4: Simplify right side
    61,386x = 9,418,508,401
  5. Step 5: Solve for x
    x = 9,418,508,401/61,386
  6. Step 6: Final answer
    x = 153,430.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.