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Finding the Third Proportional to 98,706 and 145,876.50

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Solution

The third proportional to 98,706 and 145,876.50 is: 215,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,706 : 145,876.50 = 145,876.50 : x
  2. Step 2: Convert to fraction form
    98,706/145,876.50 = 145,876.50/x
  3. Step 3: Cross multiply
    98,706x = 145,876.50 × 145,876.50
  4. Step 4: Simplify right side
    98,706x = 21,279,953,252.25
  5. Step 5: Solve for x
    x = 21,279,953,252.25/98,706
  6. Step 6: Final answer
    x = 215,589.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.