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Finding the Third Proportional to 59,712 and 130,496

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Solution

The third proportional to 59,712 and 130,496 is: 285,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,712 : 130,496 = 130,496 : x
  2. Step 2: Convert to fraction form
    59,712/130,496 = 130,496/x
  3. Step 3: Cross multiply
    59,712x = 130,496 × 130,496
  4. Step 4: Simplify right side
    59,712x = 17,029,206,016
  5. Step 5: Solve for x
    x = 17,029,206,016/59,712
  6. Step 6: Final answer
    x = 285,189.01

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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.