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Finding the Third Proportional to 66,675 and 97,377

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Solution

The third proportional to 66,675 and 97,377 is: 142,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,675 : 97,377 = 97,377 : x
  2. Step 2: Convert to fraction form
    66,675/97,377 = 97,377/x
  3. Step 3: Cross multiply
    66,675x = 97,377 × 97,377
  4. Step 4: Simplify right side
    66,675x = 9,482,280,129
  5. Step 5: Solve for x
    x = 9,482,280,129/66,675
  6. Step 6: Final answer
    x = 142,216.42

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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.