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Finding the Third Proportional to 48,672 and 71,160.19

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Solution

The third proportional to 48,672 and 71,160.19 is: 104,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,672 : 71,160.19 = 71,160.19 : x
  2. Step 2: Convert to fraction form
    48,672/71,160.19 = 71,160.19/x
  3. Step 3: Cross multiply
    48,672x = 71,160.19 × 71,160.19
  4. Step 4: Simplify right side
    48,672x = 5,063,772,285.04
  5. Step 5: Solve for x
    x = 5,063,772,285.04/48,672
  6. Step 6: Final answer
    x = 104,038.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.