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Finding the Third Proportional to 99,577 and 157,751.50

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Solution

The third proportional to 99,577 and 157,751.50 is: 249,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,577 : 157,751.50 = 157,751.50 : x
  2. Step 2: Convert to fraction form
    99,577/157,751.50 = 157,751.50/x
  3. Step 3: Cross multiply
    99,577x = 157,751.50 × 157,751.50
  4. Step 4: Simplify right side
    99,577x = 24,885,535,752.25
  5. Step 5: Solve for x
    x = 24,885,535,752.25/99,577
  6. Step 6: Final answer
    x = 249,912.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.