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Finding the Third Proportional to 99,752 and 157,931

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Solution

The third proportional to 99,752 and 157,931 is: 250,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,752 : 157,931 = 157,931 : x
  2. Step 2: Convert to fraction form
    99,752/157,931 = 157,931/x
  3. Step 3: Cross multiply
    99,752x = 157,931 × 157,931
  4. Step 4: Simplify right side
    99,752x = 24,942,200,761
  5. Step 5: Solve for x
    x = 24,942,200,761/99,752
  6. Step 6: Final answer
    x = 250,042.11

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