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Finding the Third Proportional to 103,762 and 156,061.50

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Solution

The third proportional to 103,762 and 156,061.50 is: 234,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,762 : 156,061.50 = 156,061.50 : x
  2. Step 2: Convert to fraction form
    103,762/156,061.50 = 156,061.50/x
  3. Step 3: Cross multiply
    103,762x = 156,061.50 × 156,061.50
  4. Step 4: Simplify right side
    103,762x = 24,355,191,782.25
  5. Step 5: Solve for x
    x = 24,355,191,782.25/103,762
  6. Step 6: Final answer
    x = 234,721.69

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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.