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Finding the Third Proportional to 57,637.69 and 88,205.63

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Solution

The third proportional to 57,637.69 and 88,205.63 is: 134,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,637.69 : 88,205.63 = 88,205.63 : x
  2. Step 2: Convert to fraction form
    57,637.69/88,205.63 = 88,205.63/x
  3. Step 3: Cross multiply
    57,637.69x = 88,205.63 × 88,205.63
  4. Step 4: Simplify right side
    57,637.69x = 7,780,232,281.64
  5. Step 5: Solve for x
    x = 7,780,232,281.64/57,637.69
  6. Step 6: Final answer
    x = 134,985.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.