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Finding the Third Proportional to 75,692 and 114,590

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Solution

The third proportional to 75,692 and 114,590 is: 173,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,692 : 114,590 = 114,590 : x
  2. Step 2: Convert to fraction form
    75,692/114,590 = 114,590/x
  3. Step 3: Cross multiply
    75,692x = 114,590 × 114,590
  4. Step 4: Simplify right side
    75,692x = 13,130,868,100
  5. Step 5: Solve for x
    x = 13,130,868,100/75,692
  6. Step 6: Final answer
    x = 173,477.62

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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.