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Finding the Third Proportional to 118,655 and 183,776

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Solution

The third proportional to 118,655 and 183,776 is: 284,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,655 : 183,776 = 183,776 : x
  2. Step 2: Convert to fraction form
    118,655/183,776 = 183,776/x
  3. Step 3: Cross multiply
    118,655x = 183,776 × 183,776
  4. Step 4: Simplify right side
    118,655x = 33,773,618,176
  5. Step 5: Solve for x
    x = 33,773,618,176/118,655
  6. Step 6: Final answer
    x = 284,637.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.