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Finding the Third Proportional to 76,896 and 116,532

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Solution

The third proportional to 76,896 and 116,532 is: 176,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896 : 116,532 = 116,532 : x
  2. Step 2: Convert to fraction form
    76,896/116,532 = 116,532/x
  3. Step 3: Cross multiply
    76,896x = 116,532 × 116,532
  4. Step 4: Simplify right side
    76,896x = 13,579,707,024
  5. Step 5: Solve for x
    x = 13,579,707,024/76,896
  6. Step 6: Final answer
    x = 176,598.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.