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Finding the Third Proportional to 76,798 and 116,270

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Solution

The third proportional to 76,798 and 116,270 is: 176,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798 : 116,270 = 116,270 : x
  2. Step 2: Convert to fraction form
    76,798/116,270 = 116,270/x
  3. Step 3: Cross multiply
    76,798x = 116,270 × 116,270
  4. Step 4: Simplify right side
    76,798x = 13,518,712,900
  5. Step 5: Solve for x
    x = 13,518,712,900/76,798
  6. Step 6: Final answer
    x = 176,029.49

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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.