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Finding the Third Proportional to 114,339.09 and 148,545.14

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Solution

The third proportional to 114,339.09 and 148,545.14 is: 192,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,339.09 : 148,545.14 = 148,545.14 : x
  2. Step 2: Convert to fraction form
    114,339.09/148,545.14 = 148,545.14/x
  3. Step 3: Cross multiply
    114,339.09x = 148,545.14 × 148,545.14
  4. Step 4: Simplify right side
    114,339.09x = 22,065,658,803.30
  5. Step 5: Solve for x
    x = 22,065,658,803.30/114,339.09
  6. Step 6: Final answer
    x = 192,984.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.