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Finding the Third Proportional to 28,902 and 63,090

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Solution

The third proportional to 28,902 and 63,090 is: 137,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,902 : 63,090 = 63,090 : x
  2. Step 2: Convert to fraction form
    28,902/63,090 = 63,090/x
  3. Step 3: Cross multiply
    28,902x = 63,090 × 63,090
  4. Step 4: Simplify right side
    28,902x = 3,980,348,100
  5. Step 5: Solve for x
    x = 3,980,348,100/28,902
  6. Step 6: Final answer
    x = 137,718.78

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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.