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Finding the Third Proportional to 66,513 and 90,470

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Solution

The third proportional to 66,513 and 90,470 is: 123,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513 : 90,470 = 90,470 : x
  2. Step 2: Convert to fraction form
    66,513/90,470 = 90,470/x
  3. Step 3: Cross multiply
    66,513x = 90,470 × 90,470
  4. Step 4: Simplify right side
    66,513x = 8,184,820,900
  5. Step 5: Solve for x
    x = 8,184,820,900/66,513
  6. Step 6: Final answer
    x = 123,055.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.