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Finding the Third Proportional to 60,864 and 130,320

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Solution

The third proportional to 60,864 and 130,320 is: 279,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,864 : 130,320 = 130,320 : x
  2. Step 2: Convert to fraction form
    60,864/130,320 = 130,320/x
  3. Step 3: Cross multiply
    60,864x = 130,320 × 130,320
  4. Step 4: Simplify right side
    60,864x = 16,983,302,400
  5. Step 5: Solve for x
    x = 16,983,302,400/60,864
  6. Step 6: Final answer
    x = 279,036.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.