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Finding the Third Proportional to 98,577 and 144,686.25

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Solution

The third proportional to 98,577 and 144,686.25 is: 212,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,577 : 144,686.25 = 144,686.25 : x
  2. Step 2: Convert to fraction form
    98,577/144,686.25 = 144,686.25/x
  3. Step 3: Cross multiply
    98,577x = 144,686.25 × 144,686.25
  4. Step 4: Simplify right side
    98,577x = 20,934,110,939.06
  5. Step 5: Solve for x
    x = 20,934,110,939.06/98,577
  6. Step 6: Final answer
    x = 212,363.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.