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Finding the Third Proportional to 42,953 and 65,023

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Solution

The third proportional to 42,953 and 65,023 is: 98,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,953 : 65,023 = 65,023 : x
  2. Step 2: Convert to fraction form
    42,953/65,023 = 65,023/x
  3. Step 3: Cross multiply
    42,953x = 65,023 × 65,023
  4. Step 4: Simplify right side
    42,953x = 4,227,990,529
  5. Step 5: Solve for x
    x = 4,227,990,529/42,953
  6. Step 6: Final answer
    x = 98,432.95

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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.