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Finding the Third Proportional to 59,895 and 130,414.50

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Solution

The third proportional to 59,895 and 130,414.50 is: 283,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,895 : 130,414.50 = 130,414.50 : x
  2. Step 2: Convert to fraction form
    59,895/130,414.50 = 130,414.50/x
  3. Step 3: Cross multiply
    59,895x = 130,414.50 × 130,414.50
  4. Step 4: Simplify right side
    59,895x = 17,007,941,810.25
  5. Step 5: Solve for x
    x = 17,007,941,810.25/59,895
  6. Step 6: Final answer
    x = 283,962.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.