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Finding the Third Proportional to 100,752 and 157,254

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Solution

The third proportional to 100,752 and 157,254 is: 245,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,752 : 157,254 = 157,254 : x
  2. Step 2: Convert to fraction form
    100,752/157,254 = 157,254/x
  3. Step 3: Cross multiply
    100,752x = 157,254 × 157,254
  4. Step 4: Simplify right side
    100,752x = 24,728,820,516
  5. Step 5: Solve for x
    x = 24,728,820,516/100,752
  6. Step 6: Final answer
    x = 245,442.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.