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Finding the Third Proportional to 53,643 and 72,854.25

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Solution

The third proportional to 53,643 and 72,854.25 is: 98,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643 : 72,854.25 = 72,854.25 : x
  2. Step 2: Convert to fraction form
    53,643/72,854.25 = 72,854.25/x
  3. Step 3: Cross multiply
    53,643x = 72,854.25 × 72,854.25
  4. Step 4: Simplify right side
    53,643x = 5,307,741,743.06
  5. Step 5: Solve for x
    x = 5,307,741,743.06/53,643
  6. Step 6: Final answer
    x = 98,945.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.