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Finding the Third Proportional to 99,518 and 157,577

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Solution

The third proportional to 99,518 and 157,577 is: 249,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,518 : 157,577 = 157,577 : x
  2. Step 2: Convert to fraction form
    99,518/157,577 = 157,577/x
  3. Step 3: Cross multiply
    99,518x = 157,577 × 157,577
  4. Step 4: Simplify right side
    99,518x = 24,830,510,929
  5. Step 5: Solve for x
    x = 24,830,510,929/99,518
  6. Step 6: Final answer
    x = 249,507.74

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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.