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Finding the Third Proportional to 105,913 and 157,045

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Solution

The third proportional to 105,913 and 157,045 is: 232,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,913 : 157,045 = 157,045 : x
  2. Step 2: Convert to fraction form
    105,913/157,045 = 157,045/x
  3. Step 3: Cross multiply
    105,913x = 157,045 × 157,045
  4. Step 4: Simplify right side
    105,913x = 24,663,132,025
  5. Step 5: Solve for x
    x = 24,663,132,025/105,913
  6. Step 6: Final answer
    x = 232,862.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.