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Finding the Third Proportional to 60,923.50 and 141,026.50

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Solution

The third proportional to 60,923.50 and 141,026.50 is: 326,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,923.50 : 141,026.50 = 141,026.50 : x
  2. Step 2: Convert to fraction form
    60,923.50/141,026.50 = 141,026.50/x
  3. Step 3: Cross multiply
    60,923.50x = 141,026.50 × 141,026.50
  4. Step 4: Simplify right side
    60,923.50x = 19,888,473,702.25
  5. Step 5: Solve for x
    x = 19,888,473,702.25/60,923.50
  6. Step 6: Final answer
    x = 326,449.95

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.