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Finding the Third Proportional to 91,737 and 145,943

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Solution

The third proportional to 91,737 and 145,943 is: 232,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,737 : 145,943 = 145,943 : x
  2. Step 2: Convert to fraction form
    91,737/145,943 = 145,943/x
  3. Step 3: Cross multiply
    91,737x = 145,943 × 145,943
  4. Step 4: Simplify right side
    91,737x = 21,299,359,249
  5. Step 5: Solve for x
    x = 21,299,359,249/91,737
  6. Step 6: Final answer
    x = 232,178.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.