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Finding the Third Proportional to 53,400 and 77,346

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Solution

The third proportional to 53,400 and 77,346 is: 112,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,400 : 77,346 = 77,346 : x
  2. Step 2: Convert to fraction form
    53,400/77,346 = 77,346/x
  3. Step 3: Cross multiply
    53,400x = 77,346 × 77,346
  4. Step 4: Simplify right side
    53,400x = 5,982,403,716
  5. Step 5: Solve for x
    x = 5,982,403,716/53,400
  6. Step 6: Final answer
    x = 112,030.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.