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Finding the Third Proportional to 78,801 and 170,730

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Solution

The third proportional to 78,801 and 170,730 is: 369,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,801 : 170,730 = 170,730 : x
  2. Step 2: Convert to fraction form
    78,801/170,730 = 170,730/x
  3. Step 3: Cross multiply
    78,801x = 170,730 × 170,730
  4. Step 4: Simplify right side
    78,801x = 29,148,732,900
  5. Step 5: Solve for x
    x = 29,148,732,900/78,801
  6. Step 6: Final answer
    x = 369,903.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.