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Finding the Third Proportional to 57,303 and 123,070

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Solution

The third proportional to 57,303 and 123,070 is: 264,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,303 : 123,070 = 123,070 : x
  2. Step 2: Convert to fraction form
    57,303/123,070 = 123,070/x
  3. Step 3: Cross multiply
    57,303x = 123,070 × 123,070
  4. Step 4: Simplify right side
    57,303x = 15,146,224,900
  5. Step 5: Solve for x
    x = 15,146,224,900/57,303
  6. Step 6: Final answer
    x = 264,318.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.