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Finding the Third Proportional to 124,841.25 and 193,088.18

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Solution

The third proportional to 124,841.25 and 193,088.18 is: 298,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,841.25 : 193,088.18 = 193,088.18 : x
  2. Step 2: Convert to fraction form
    124,841.25/193,088.18 = 193,088.18/x
  3. Step 3: Cross multiply
    124,841.25x = 193,088.18 × 193,088.18
  4. Step 4: Simplify right side
    124,841.25x = 37,283,045,135.03
  5. Step 5: Solve for x
    x = 37,283,045,135.03/124,841.25
  6. Step 6: Final answer
    x = 298,643.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.