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Finding the Third Proportional to 54,748 and 78,284

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Solution

The third proportional to 54,748 and 78,284 is: 111,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,748 : 78,284 = 78,284 : x
  2. Step 2: Convert to fraction form
    54,748/78,284 = 78,284/x
  3. Step 3: Cross multiply
    54,748x = 78,284 × 78,284
  4. Step 4: Simplify right side
    54,748x = 6,128,384,656
  5. Step 5: Solve for x
    x = 6,128,384,656/54,748
  6. Step 6: Final answer
    x = 111,938.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.