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Finding the Third Proportional to 59,127 and 129,297

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Solution

The third proportional to 59,127 and 129,297 is: 282,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,127 : 129,297 = 129,297 : x
  2. Step 2: Convert to fraction form
    59,127/129,297 = 129,297/x
  3. Step 3: Cross multiply
    59,127x = 129,297 × 129,297
  4. Step 4: Simplify right side
    59,127x = 16,717,714,209
  5. Step 5: Solve for x
    x = 16,717,714,209/59,127
  6. Step 6: Final answer
    x = 282,742.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.