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Finding the Third Proportional to 124,464 and 191,310

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Solution

The third proportional to 124,464 and 191,310 is: 294,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,464 : 191,310 = 191,310 : x
  2. Step 2: Convert to fraction form
    124,464/191,310 = 191,310/x
  3. Step 3: Cross multiply
    124,464x = 191,310 × 191,310
  4. Step 4: Simplify right side
    124,464x = 36,599,516,100
  5. Step 5: Solve for x
    x = 36,599,516,100/124,464
  6. Step 6: Final answer
    x = 294,057.05

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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.