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Finding the Third Proportional to 61,036 and 94,319

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Solution

The third proportional to 61,036 and 94,319 is: 145,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,036 : 94,319 = 94,319 : x
  2. Step 2: Convert to fraction form
    61,036/94,319 = 94,319/x
  3. Step 3: Cross multiply
    61,036x = 94,319 × 94,319
  4. Step 4: Simplify right side
    61,036x = 8,896,073,761
  5. Step 5: Solve for x
    x = 8,896,073,761/61,036
  6. Step 6: Final answer
    x = 145,751.26

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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.