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Finding the Third Proportional to 105,062 and 157,221

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Solution

The third proportional to 105,062 and 157,221 is: 235,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,062 : 157,221 = 157,221 : x
  2. Step 2: Convert to fraction form
    105,062/157,221 = 157,221/x
  3. Step 3: Cross multiply
    105,062x = 157,221 × 157,221
  4. Step 4: Simplify right side
    105,062x = 24,718,442,841
  5. Step 5: Solve for x
    x = 24,718,442,841/105,062
  6. Step 6: Final answer
    x = 235,274.82

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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.