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Finding the Third Proportional to 59,127 and 86,490

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Solution

The third proportional to 59,127 and 86,490 is: 126,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,127 : 86,490 = 86,490 : x
  2. Step 2: Convert to fraction form
    59,127/86,490 = 86,490/x
  3. Step 3: Cross multiply
    59,127x = 86,490 × 86,490
  4. Step 4: Simplify right side
    59,127x = 7,480,520,100
  5. Step 5: Solve for x
    x = 7,480,520,100/59,127
  6. Step 6: Final answer
    x = 126,516.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.