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Finding the Third Proportional to 45,718 and 69,064.50

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Solution

The third proportional to 45,718 and 69,064.50 is: 104,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,718 : 69,064.50 = 69,064.50 : x
  2. Step 2: Convert to fraction form
    45,718/69,064.50 = 69,064.50/x
  3. Step 3: Cross multiply
    45,718x = 69,064.50 × 69,064.50
  4. Step 4: Simplify right side
    45,718x = 4,769,905,160.25
  5. Step 5: Solve for x
    x = 4,769,905,160.25/45,718
  6. Step 6: Final answer
    x = 104,333.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.