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Finding the Third Proportional to 60,047 and 86,972

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Solution

The third proportional to 60,047 and 86,972 is: 125,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,047 : 86,972 = 86,972 : x
  2. Step 2: Convert to fraction form
    60,047/86,972 = 86,972/x
  3. Step 3: Cross multiply
    60,047x = 86,972 × 86,972
  4. Step 4: Simplify right side
    60,047x = 7,564,128,784
  5. Step 5: Solve for x
    x = 7,564,128,784/60,047
  6. Step 6: Final answer
    x = 125,970.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.