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Finding the Third Proportional to 42,387 and 64,127

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Solution

The third proportional to 42,387 and 64,127 is: 97,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,387 : 64,127 = 64,127 : x
  2. Step 2: Convert to fraction form
    42,387/64,127 = 64,127/x
  3. Step 3: Cross multiply
    42,387x = 64,127 × 64,127
  4. Step 4: Simplify right side
    42,387x = 4,112,272,129
  5. Step 5: Solve for x
    x = 4,112,272,129/42,387
  6. Step 6: Final answer
    x = 97,017.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.