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Finding the Third Proportional to 67,301 and 105,585

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Solution

The third proportional to 67,301 and 105,585 is: 165,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,301 : 105,585 = 105,585 : x
  2. Step 2: Convert to fraction form
    67,301/105,585 = 105,585/x
  3. Step 3: Cross multiply
    67,301x = 105,585 × 105,585
  4. Step 4: Simplify right side
    67,301x = 11,148,192,225
  5. Step 5: Solve for x
    x = 11,148,192,225/67,301
  6. Step 6: Final answer
    x = 165,646.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.