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Finding the Third Proportional to 61,300 and 94,957

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Solution

The third proportional to 61,300 and 94,957 is: 147,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,300 : 94,957 = 94,957 : x
  2. Step 2: Convert to fraction form
    61,300/94,957 = 94,957/x
  3. Step 3: Cross multiply
    61,300x = 94,957 × 94,957
  4. Step 4: Simplify right side
    61,300x = 9,016,831,849
  5. Step 5: Solve for x
    x = 9,016,831,849/61,300
  6. Step 6: Final answer
    x = 147,093.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.