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Finding the Third Proportional to 60,076 and 86,537

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Solution

The third proportional to 60,076 and 86,537 is: 124,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,076 : 86,537 = 86,537 : x
  2. Step 2: Convert to fraction form
    60,076/86,537 = 86,537/x
  3. Step 3: Cross multiply
    60,076x = 86,537 × 86,537
  4. Step 4: Simplify right side
    60,076x = 7,488,652,369
  5. Step 5: Solve for x
    x = 7,488,652,369/60,076
  6. Step 6: Final answer
    x = 124,652.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.