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Finding the Third Proportional to 63,146 and 98,039

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Solution

The third proportional to 63,146 and 98,039 is: 152,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,146 : 98,039 = 98,039 : x
  2. Step 2: Convert to fraction form
    63,146/98,039 = 98,039/x
  3. Step 3: Cross multiply
    63,146x = 98,039 × 98,039
  4. Step 4: Simplify right side
    63,146x = 9,611,645,521
  5. Step 5: Solve for x
    x = 9,611,645,521/63,146
  6. Step 6: Final answer
    x = 152,213.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.