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Finding the Third Proportional to 55,641 and 117,903.75

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Solution

The third proportional to 55,641 and 117,903.75 is: 249,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,641 : 117,903.75 = 117,903.75 : x
  2. Step 2: Convert to fraction form
    55,641/117,903.75 = 117,903.75/x
  3. Step 3: Cross multiply
    55,641x = 117,903.75 × 117,903.75
  4. Step 4: Simplify right side
    55,641x = 13,901,294,264.06
  5. Step 5: Solve for x
    x = 13,901,294,264.06/55,641
  6. Step 6: Final answer
    x = 249,839.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.