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Finding the Third Proportional to 105,076 and 157,242

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Solution

The third proportional to 105,076 and 157,242 is: 235,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076 : 157,242 = 157,242 : x
  2. Step 2: Convert to fraction form
    105,076/157,242 = 157,242/x
  3. Step 3: Cross multiply
    105,076x = 157,242 × 157,242
  4. Step 4: Simplify right side
    105,076x = 24,725,046,564
  5. Step 5: Solve for x
    x = 24,725,046,564/105,076
  6. Step 6: Final answer
    x = 235,306.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.