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Finding the Third Proportional to 125,730 and 170,856

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Solution

The third proportional to 125,730 and 170,856 is: 232,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,730 : 170,856 = 170,856 : x
  2. Step 2: Convert to fraction form
    125,730/170,856 = 170,856/x
  3. Step 3: Cross multiply
    125,730x = 170,856 × 170,856
  4. Step 4: Simplify right side
    125,730x = 29,191,772,736
  5. Step 5: Solve for x
    x = 29,191,772,736/125,730
  6. Step 6: Final answer
    x = 232,178.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.