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Finding the Third Proportional to 67,101 and 98,704.50

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Solution

The third proportional to 67,101 and 98,704.50 is: 145,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,101 : 98,704.50 = 98,704.50 : x
  2. Step 2: Convert to fraction form
    67,101/98,704.50 = 98,704.50/x
  3. Step 3: Cross multiply
    67,101x = 98,704.50 × 98,704.50
  4. Step 4: Simplify right side
    67,101x = 9,742,578,320.25
  5. Step 5: Solve for x
    x = 9,742,578,320.25/67,101
  6. Step 6: Final answer
    x = 145,192.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.