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Finding the Third Proportional to 66,837 and 97,246.50

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Solution

The third proportional to 66,837 and 97,246.50 is: 141,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,837 : 97,246.50 = 97,246.50 : x
  2. Step 2: Convert to fraction form
    66,837/97,246.50 = 97,246.50/x
  3. Step 3: Cross multiply
    66,837x = 97,246.50 × 97,246.50
  4. Step 4: Simplify right side
    66,837x = 9,456,881,762.25
  5. Step 5: Solve for x
    x = 9,456,881,762.25/66,837
  6. Step 6: Final answer
    x = 141,491.72

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.