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Finding the Third Proportional to 105,062 and 157,224

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Solution

The third proportional to 105,062 and 157,224 is: 235,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,062 : 157,224 = 157,224 : x
  2. Step 2: Convert to fraction form
    105,062/157,224 = 157,224/x
  3. Step 3: Cross multiply
    105,062x = 157,224 × 157,224
  4. Step 4: Simplify right side
    105,062x = 24,719,386,176
  5. Step 5: Solve for x
    x = 24,719,386,176/105,062
  6. Step 6: Final answer
    x = 235,283.80

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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.