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Finding the Third Proportional to 62,952 and 128,812.50

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Solution

The third proportional to 62,952 and 128,812.50 is: 263,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,952 : 128,812.50 = 128,812.50 : x
  2. Step 2: Convert to fraction form
    62,952/128,812.50 = 128,812.50/x
  3. Step 3: Cross multiply
    62,952x = 128,812.50 × 128,812.50
  4. Step 4: Simplify right side
    62,952x = 16,592,660,156.25
  5. Step 5: Solve for x
    x = 16,592,660,156.25/62,952
  6. Step 6: Final answer
    x = 263,576.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.