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Finding the Third Proportional to 57,075.47 and 88,720.31

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Solution

The third proportional to 57,075.47 and 88,720.31 is: 137,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,075.47 : 88,720.31 = 88,720.31 : x
  2. Step 2: Convert to fraction form
    57,075.47/88,720.31 = 88,720.31/x
  3. Step 3: Cross multiply
    57,075.47x = 88,720.31 × 88,720.31
  4. Step 4: Simplify right side
    57,075.47x = 7,871,293,850.10
  5. Step 5: Solve for x
    x = 7,871,293,850.10/57,075.47
  6. Step 6: Final answer
    x = 137,910.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.