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Finding the Third Proportional to 76,352 and 116,585

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Solution

The third proportional to 76,352 and 116,585 is: 178,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,352 : 116,585 = 116,585 : x
  2. Step 2: Convert to fraction form
    76,352/116,585 = 116,585/x
  3. Step 3: Cross multiply
    76,352x = 116,585 × 116,585
  4. Step 4: Simplify right side
    76,352x = 13,592,062,225
  5. Step 5: Solve for x
    x = 13,592,062,225/76,352
  6. Step 6: Final answer
    x = 178,018.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.