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Finding the Third Proportional to 114,702.75 and 249,112.13

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Solution

The third proportional to 114,702.75 and 249,112.13 is: 541,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,702.75 : 249,112.13 = 249,112.13 : x
  2. Step 2: Convert to fraction form
    114,702.75/249,112.13 = 249,112.13/x
  3. Step 3: Cross multiply
    114,702.75x = 249,112.13 × 249,112.13
  4. Step 4: Simplify right side
    114,702.75x = 62,056,850,822.02
  5. Step 5: Solve for x
    x = 62,056,850,822.02/114,702.75
  6. Step 6: Final answer
    x = 541,023.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.