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Finding the Third Proportional to 125,202 and 191,947.50

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Solution

The third proportional to 125,202 and 191,947.50 is: 294,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,202 : 191,947.50 = 191,947.50 : x
  2. Step 2: Convert to fraction form
    125,202/191,947.50 = 191,947.50/x
  3. Step 3: Cross multiply
    125,202x = 191,947.50 × 191,947.50
  4. Step 4: Simplify right side
    125,202x = 36,843,842,756.25
  5. Step 5: Solve for x
    x = 36,843,842,756.25/125,202
  6. Step 6: Final answer
    x = 294,275.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.