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Finding the Third Proportional to 53,608.88 and 78,854.06

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Solution

The third proportional to 53,608.88 and 78,854.06 is: 115,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,608.88 : 78,854.06 = 78,854.06 : x
  2. Step 2: Convert to fraction form
    53,608.88/78,854.06 = 78,854.06/x
  3. Step 3: Cross multiply
    53,608.88x = 78,854.06 × 78,854.06
  4. Step 4: Simplify right side
    53,608.88x = 6,217,963,172.75
  5. Step 5: Solve for x
    x = 6,217,963,172.75/53,608.88
  6. Step 6: Final answer
    x = 115,987.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.