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Finding the Third Proportional to 75,368 and 114,032

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Solution

The third proportional to 75,368 and 114,032 is: 172,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,368 : 114,032 = 114,032 : x
  2. Step 2: Convert to fraction form
    75,368/114,032 = 114,032/x
  3. Step 3: Cross multiply
    75,368x = 114,032 × 114,032
  4. Step 4: Simplify right side
    75,368x = 13,003,297,024
  5. Step 5: Solve for x
    x = 13,003,297,024/75,368
  6. Step 6: Final answer
    x = 172,530.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.