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Finding the Third Proportional to 118,798 and 177,615

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Solution

The third proportional to 118,798 and 177,615 is: 265,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,798 : 177,615 = 177,615 : x
  2. Step 2: Convert to fraction form
    118,798/177,615 = 177,615/x
  3. Step 3: Cross multiply
    118,798x = 177,615 × 177,615
  4. Step 4: Simplify right side
    118,798x = 31,547,088,225
  5. Step 5: Solve for x
    x = 31,547,088,225/118,798
  6. Step 6: Final answer
    x = 265,552.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.