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Finding the Third Proportional to 105,040.13 and 162,916.31

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Solution

The third proportional to 105,040.13 and 162,916.31 is: 252,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,040.13 : 162,916.31 = 162,916.31 : x
  2. Step 2: Convert to fraction form
    105,040.13/162,916.31 = 162,916.31/x
  3. Step 3: Cross multiply
    105,040.13x = 162,916.31 × 162,916.31
  4. Step 4: Simplify right side
    105,040.13x = 26,541,724,878.60
  5. Step 5: Solve for x
    x = 26,541,724,878.60/105,040.13
  6. Step 6: Final answer
    x = 252,681.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.