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Finding the Third Proportional to 72,307.69 and 156,681.84

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Solution

The third proportional to 72,307.69 and 156,681.84 is: 339,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,307.69 : 156,681.84 = 156,681.84 : x
  2. Step 2: Convert to fraction form
    72,307.69/156,681.84 = 156,681.84/x
  3. Step 3: Cross multiply
    72,307.69x = 156,681.84 × 156,681.84
  4. Step 4: Simplify right side
    72,307.69x = 24,549,200,160.90
  5. Step 5: Solve for x
    x = 24,549,200,160.90/72,307.69
  6. Step 6: Final answer
    x = 339,510.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.