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Finding the Third Proportional to 75,913 and 113,455

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Solution

The third proportional to 75,913 and 113,455 is: 169,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,913 : 113,455 = 113,455 : x
  2. Step 2: Convert to fraction form
    75,913/113,455 = 113,455/x
  3. Step 3: Cross multiply
    75,913x = 113,455 × 113,455
  4. Step 4: Simplify right side
    75,913x = 12,872,037,025
  5. Step 5: Solve for x
    x = 12,872,037,025/75,913
  6. Step 6: Final answer
    x = 169,563.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.