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Finding the Third Proportional to 53,564.41 and 84,746.25

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Solution

The third proportional to 53,564.41 and 84,746.25 is: 134,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,564.41 : 84,746.25 = 84,746.25 : x
  2. Step 2: Convert to fraction form
    53,564.41/84,746.25 = 84,746.25/x
  3. Step 3: Cross multiply
    53,564.41x = 84,746.25 × 84,746.25
  4. Step 4: Simplify right side
    53,564.41x = 7,181,926,889.06
  5. Step 5: Solve for x
    x = 7,181,926,889.06/53,564.41
  6. Step 6: Final answer
    x = 134,080.19

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.