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Finding the Third Proportional to 127,962.50 and 299,038

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Solution

The third proportional to 127,962.50 and 299,038 is: 698,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,962.50 : 299,038 = 299,038 : x
  2. Step 2: Convert to fraction form
    127,962.50/299,038 = 299,038/x
  3. Step 3: Cross multiply
    127,962.50x = 299,038 × 299,038
  4. Step 4: Simplify right side
    127,962.50x = 89,423,725,444
  5. Step 5: Solve for x
    x = 89,423,725,444/127,962.50
  6. Step 6: Final answer
    x = 698,827.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.