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Finding the Third Proportional to 66,726 and 97,454

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Solution

The third proportional to 66,726 and 97,454 is: 142,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,726 : 97,454 = 97,454 : x
  2. Step 2: Convert to fraction form
    66,726/97,454 = 97,454/x
  3. Step 3: Cross multiply
    66,726x = 97,454 × 97,454
  4. Step 4: Simplify right side
    66,726x = 9,497,282,116
  5. Step 5: Solve for x
    x = 9,497,282,116/66,726
  6. Step 6: Final answer
    x = 142,332.56

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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.