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Finding the Third Proportional to 103,413 and 151,013

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Solution

The third proportional to 103,413 and 151,013 is: 220,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413 : 151,013 = 151,013 : x
  2. Step 2: Convert to fraction form
    103,413/151,013 = 151,013/x
  3. Step 3: Cross multiply
    103,413x = 151,013 × 151,013
  4. Step 4: Simplify right side
    103,413x = 22,804,926,169
  5. Step 5: Solve for x
    x = 22,804,926,169/103,413
  6. Step 6: Final answer
    x = 220,522.82

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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.