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Finding the Third Proportional to 125,829 and 251,545.50

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Solution

The third proportional to 125,829 and 251,545.50 is: 502,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,829 : 251,545.50 = 251,545.50 : x
  2. Step 2: Convert to fraction form
    125,829/251,545.50 = 251,545.50/x
  3. Step 3: Cross multiply
    125,829x = 251,545.50 × 251,545.50
  4. Step 4: Simplify right side
    125,829x = 63,275,138,570.25
  5. Step 5: Solve for x
    x = 63,275,138,570.25/125,829
  6. Step 6: Final answer
    x = 502,866.10

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.