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Finding the Third Proportional to 107,584 and 160,560

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Solution

The third proportional to 107,584 and 160,560 is: 239,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,584 : 160,560 = 160,560 : x
  2. Step 2: Convert to fraction form
    107,584/160,560 = 160,560/x
  3. Step 3: Cross multiply
    107,584x = 160,560 × 160,560
  4. Step 4: Simplify right side
    107,584x = 25,779,513,600
  5. Step 5: Solve for x
    x = 25,779,513,600/107,584
  6. Step 6: Final answer
    x = 239,622.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.