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Finding the Third Proportional to 124,478 and 191,332

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Solution

The third proportional to 124,478 and 191,332 is: 294,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,478 : 191,332 = 191,332 : x
  2. Step 2: Convert to fraction form
    124,478/191,332 = 191,332/x
  3. Step 3: Cross multiply
    124,478x = 191,332 × 191,332
  4. Step 4: Simplify right side
    124,478x = 36,607,934,224
  5. Step 5: Solve for x
    x = 36,607,934,224/124,478
  6. Step 6: Final answer
    x = 294,091.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.