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Finding the Third Proportional to 116,984 and 185,940

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Solution

The third proportional to 116,984 and 185,940 is: 295,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,984 : 185,940 = 185,940 : x
  2. Step 2: Convert to fraction form
    116,984/185,940 = 185,940/x
  3. Step 3: Cross multiply
    116,984x = 185,940 × 185,940
  4. Step 4: Simplify right side
    116,984x = 34,573,683,600
  5. Step 5: Solve for x
    x = 34,573,683,600/116,984
  6. Step 6: Final answer
    x = 295,541.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.