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Finding the Third Proportional to 62,967 and 98,278.50

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Solution

The third proportional to 62,967 and 98,278.50 is: 153,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,967 : 98,278.50 = 98,278.50 : x
  2. Step 2: Convert to fraction form
    62,967/98,278.50 = 98,278.50/x
  3. Step 3: Cross multiply
    62,967x = 98,278.50 × 98,278.50
  4. Step 4: Simplify right side
    62,967x = 9,658,663,562.25
  5. Step 5: Solve for x
    x = 9,658,663,562.25/62,967
  6. Step 6: Final answer
    x = 153,392.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.