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Finding the Third Proportional to 72,807.19 and 155,737.69

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Solution

The third proportional to 72,807.19 and 155,737.69 is: 333,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.19 : 155,737.69 = 155,737.69 : x
  2. Step 2: Convert to fraction form
    72,807.19/155,737.69 = 155,737.69/x
  3. Step 3: Cross multiply
    72,807.19x = 155,737.69 × 155,737.69
  4. Step 4: Simplify right side
    72,807.19x = 24,254,227,307.85
  5. Step 5: Solve for x
    x = 24,254,227,307.85/72,807.19
  6. Step 6: Final answer
    x = 333,129.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.