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Finding the Third Proportional to 59,887 and 127,076

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Solution

The third proportional to 59,887 and 127,076 is: 269,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,887 : 127,076 = 127,076 : x
  2. Step 2: Convert to fraction form
    59,887/127,076 = 127,076/x
  3. Step 3: Cross multiply
    59,887x = 127,076 × 127,076
  4. Step 4: Simplify right side
    59,887x = 16,148,309,776
  5. Step 5: Solve for x
    x = 16,148,309,776/59,887
  6. Step 6: Final answer
    x = 269,646.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.