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Finding the Third Proportional to 69,498 and 115,030.13

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Solution

The third proportional to 69,498 and 115,030.13 is: 190,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,498 : 115,030.13 = 115,030.13 : x
  2. Step 2: Convert to fraction form
    69,498/115,030.13 = 115,030.13/x
  3. Step 3: Cross multiply
    69,498x = 115,030.13 × 115,030.13
  4. Step 4: Simplify right side
    69,498x = 13,231,929,657.52
  5. Step 5: Solve for x
    x = 13,231,929,657.52/69,498
  6. Step 6: Final answer
    x = 190,392.96

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.