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Finding the Third Proportional to 84,416 and 130,704

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Solution

The third proportional to 84,416 and 130,704 is: 202,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,416 : 130,704 = 130,704 : x
  2. Step 2: Convert to fraction form
    84,416/130,704 = 130,704/x
  3. Step 3: Cross multiply
    84,416x = 130,704 × 130,704
  4. Step 4: Simplify right side
    84,416x = 17,083,535,616
  5. Step 5: Solve for x
    x = 17,083,535,616/84,416
  6. Step 6: Final answer
    x = 202,373.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.