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Finding the Third Proportional to 59,431 and 130,526

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Solution

The third proportional to 59,431 and 130,526 is: 286,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,431 : 130,526 = 130,526 : x
  2. Step 2: Convert to fraction form
    59,431/130,526 = 130,526/x
  3. Step 3: Cross multiply
    59,431x = 130,526 × 130,526
  4. Step 4: Simplify right side
    59,431x = 17,037,036,676
  5. Step 5: Solve for x
    x = 17,037,036,676/59,431
  6. Step 6: Final answer
    x = 286,669.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.