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Finding the Third Proportional to 73,560 and 116,534

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Solution

The third proportional to 73,560 and 116,534 is: 184,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,560 : 116,534 = 116,534 : x
  2. Step 2: Convert to fraction form
    73,560/116,534 = 116,534/x
  3. Step 3: Cross multiply
    73,560x = 116,534 × 116,534
  4. Step 4: Simplify right side
    73,560x = 13,580,173,156
  5. Step 5: Solve for x
    x = 13,580,173,156/73,560
  6. Step 6: Final answer
    x = 184,613.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.