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Finding the Third Proportional to 125,301 and 191,920.50

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Solution

The third proportional to 125,301 and 191,920.50 is: 293,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,301 : 191,920.50 = 191,920.50 : x
  2. Step 2: Convert to fraction form
    125,301/191,920.50 = 191,920.50/x
  3. Step 3: Cross multiply
    125,301x = 191,920.50 × 191,920.50
  4. Step 4: Simplify right side
    125,301x = 36,833,478,320.25
  5. Step 5: Solve for x
    x = 36,833,478,320.25/125,301
  6. Step 6: Final answer
    x = 293,959.97

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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.