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Finding the Third Proportional to 103,718 and 151,039

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Solution

The third proportional to 103,718 and 151,039 is: 219,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,718 : 151,039 = 151,039 : x
  2. Step 2: Convert to fraction form
    103,718/151,039 = 151,039/x
  3. Step 3: Cross multiply
    103,718x = 151,039 × 151,039
  4. Step 4: Simplify right side
    103,718x = 22,812,779,521
  5. Step 5: Solve for x
    x = 22,812,779,521/103,718
  6. Step 6: Final answer
    x = 219,950.05

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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.