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Finding the Third Proportional to 65,577.94 and 101,265.19

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Solution

The third proportional to 65,577.94 and 101,265.19 is: 156,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,577.94 : 101,265.19 = 101,265.19 : x
  2. Step 2: Convert to fraction form
    65,577.94/101,265.19 = 101,265.19/x
  3. Step 3: Cross multiply
    65,577.94x = 101,265.19 × 101,265.19
  4. Step 4: Simplify right side
    65,577.94x = 10,254,638,199.41
  5. Step 5: Solve for x
    x = 10,254,638,199.41/65,577.94
  6. Step 6: Final answer
    x = 156,373.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.