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Finding the Third Proportional to 48,352 and 105,560

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Solution

The third proportional to 48,352 and 105,560 is: 230,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,352 : 105,560 = 105,560 : x
  2. Step 2: Convert to fraction form
    48,352/105,560 = 105,560/x
  3. Step 3: Cross multiply
    48,352x = 105,560 × 105,560
  4. Step 4: Simplify right side
    48,352x = 11,142,913,600
  5. Step 5: Solve for x
    x = 11,142,913,600/48,352
  6. Step 6: Final answer
    x = 230,454.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.