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Finding the Third Proportional to 103,416 and 151,017

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Solution

The third proportional to 103,416 and 151,017 is: 220,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416 : 151,017 = 151,017 : x
  2. Step 2: Convert to fraction form
    103,416/151,017 = 151,017/x
  3. Step 3: Cross multiply
    103,416x = 151,017 × 151,017
  4. Step 4: Simplify right side
    103,416x = 22,806,134,289
  5. Step 5: Solve for x
    x = 22,806,134,289/103,416
  6. Step 6: Final answer
    x = 220,528.10

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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.