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Finding the Third Proportional to 125,248.50 and 254,869.50

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Solution

The third proportional to 125,248.50 and 254,869.50 is: 518,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,248.50 : 254,869.50 = 254,869.50 : x
  2. Step 2: Convert to fraction form
    125,248.50/254,869.50 = 254,869.50/x
  3. Step 3: Cross multiply
    125,248.50x = 254,869.50 × 254,869.50
  4. Step 4: Simplify right side
    125,248.50x = 64,958,462,030.25
  5. Step 5: Solve for x
    x = 64,958,462,030.25/125,248.50
  6. Step 6: Final answer
    x = 518,636.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.