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Finding the Third Proportional to 67,047.75 and 97,783.88

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Solution

The third proportional to 67,047.75 and 97,783.88 is: 142,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.75 : 97,783.88 = 97,783.88 : x
  2. Step 2: Convert to fraction form
    67,047.75/97,783.88 = 97,783.88/x
  3. Step 3: Cross multiply
    67,047.75x = 97,783.88 × 97,783.88
  4. Step 4: Simplify right side
    67,047.75x = 9,561,686,210.02
  5. Step 5: Solve for x
    x = 9,561,686,210.02/67,047.75
  6. Step 6: Final answer
    x = 142,610.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.