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Finding the Third Proportional to 61,893 and 96,537

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Solution

The third proportional to 61,893 and 96,537 is: 150,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,893 : 96,537 = 96,537 : x
  2. Step 2: Convert to fraction form
    61,893/96,537 = 96,537/x
  3. Step 3: Cross multiply
    61,893x = 96,537 × 96,537
  4. Step 4: Simplify right side
    61,893x = 9,319,392,369
  5. Step 5: Solve for x
    x = 9,319,392,369/61,893
  6. Step 6: Final answer
    x = 150,572.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.