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Finding the Third Proportional to 58,284 and 127,776

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Solution

The third proportional to 58,284 and 127,776 is: 280,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,284 : 127,776 = 127,776 : x
  2. Step 2: Convert to fraction form
    58,284/127,776 = 127,776/x
  3. Step 3: Cross multiply
    58,284x = 127,776 × 127,776
  4. Step 4: Simplify right side
    58,284x = 16,326,706,176
  5. Step 5: Solve for x
    x = 16,326,706,176/58,284
  6. Step 6: Final answer
    x = 280,123.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.