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Finding the Third Proportional to 53,417.25 and 115,400.25

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Solution

The third proportional to 53,417.25 and 115,400.25 is: 249,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,417.25 : 115,400.25 = 115,400.25 : x
  2. Step 2: Convert to fraction form
    53,417.25/115,400.25 = 115,400.25/x
  3. Step 3: Cross multiply
    53,417.25x = 115,400.25 × 115,400.25
  4. Step 4: Simplify right side
    53,417.25x = 13,317,217,700.06
  5. Step 5: Solve for x
    x = 13,317,217,700.06/53,417.25
  6. Step 6: Final answer
    x = 249,305.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.