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Finding the Third Proportional to 103,310 and 151,426

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Solution

The third proportional to 103,310 and 151,426 is: 221,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,310 : 151,426 = 151,426 : x
  2. Step 2: Convert to fraction form
    103,310/151,426 = 151,426/x
  3. Step 3: Cross multiply
    103,310x = 151,426 × 151,426
  4. Step 4: Simplify right side
    103,310x = 22,929,833,476
  5. Step 5: Solve for x
    x = 22,929,833,476/103,310
  6. Step 6: Final answer
    x = 221,951.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.