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Finding the Third Proportional to 42,257 and 64,958

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Solution

The third proportional to 42,257 and 64,958 is: 99,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,257 : 64,958 = 64,958 : x
  2. Step 2: Convert to fraction form
    42,257/64,958 = 64,958/x
  3. Step 3: Cross multiply
    42,257x = 64,958 × 64,958
  4. Step 4: Simplify right side
    42,257x = 4,219,541,764
  5. Step 5: Solve for x
    x = 4,219,541,764/42,257
  6. Step 6: Final answer
    x = 99,854.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.