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Finding the Third Proportional to 124,470 and 191,319

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Solution

The third proportional to 124,470 and 191,319 is: 294,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,470 : 191,319 = 191,319 : x
  2. Step 2: Convert to fraction form
    124,470/191,319 = 191,319/x
  3. Step 3: Cross multiply
    124,470x = 191,319 × 191,319
  4. Step 4: Simplify right side
    124,470x = 36,602,959,761
  5. Step 5: Solve for x
    x = 36,602,959,761/124,470
  6. Step 6: Final answer
    x = 294,070.54

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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.