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Finding the Third Proportional to 53,160 and 84,604

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Solution

The third proportional to 53,160 and 84,604 is: 134,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,160 : 84,604 = 84,604 : x
  2. Step 2: Convert to fraction form
    53,160/84,604 = 84,604/x
  3. Step 3: Cross multiply
    53,160x = 84,604 × 84,604
  4. Step 4: Simplify right side
    53,160x = 7,157,836,816
  5. Step 5: Solve for x
    x = 7,157,836,816/53,160
  6. Step 6: Final answer
    x = 134,647.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.