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Finding the Third Proportional to 125,513.30 and 191,225.81

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Solution

The third proportional to 125,513.30 and 191,225.81 is: 291,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,513.30 : 191,225.81 = 191,225.81 : x
  2. Step 2: Convert to fraction form
    125,513.30/191,225.81 = 191,225.81/x
  3. Step 3: Cross multiply
    125,513.30x = 191,225.81 × 191,225.81
  4. Step 4: Simplify right side
    125,513.30x = 36,567,311,366.29
  5. Step 5: Solve for x
    x = 36,567,311,366.29/125,513.30
  6. Step 6: Final answer
    x = 291,342.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.