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Finding the Third Proportional to 62,205 and 93,822

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Solution

The third proportional to 62,205 and 93,822 is: 141,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,205 : 93,822 = 93,822 : x
  2. Step 2: Convert to fraction form
    62,205/93,822 = 93,822/x
  3. Step 3: Cross multiply
    62,205x = 93,822 × 93,822
  4. Step 4: Simplify right side
    62,205x = 8,802,567,684
  5. Step 5: Solve for x
    x = 8,802,567,684/62,205
  6. Step 6: Final answer
    x = 141,509.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.