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Finding the Third Proportional to 125,587.13 and 188,403.47

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Solution

The third proportional to 125,587.13 and 188,403.47 is: 282,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,587.13 : 188,403.47 = 188,403.47 : x
  2. Step 2: Convert to fraction form
    125,587.13/188,403.47 = 188,403.47/x
  3. Step 3: Cross multiply
    125,587.13x = 188,403.47 × 188,403.47
  4. Step 4: Simplify right side
    125,587.13x = 35,495,867,037.03
  5. Step 5: Solve for x
    x = 35,495,867,037.03/125,587.13
  6. Step 6: Final answer
    x = 282,639.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.