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Finding the Third Proportional to 54,875 and 84,590

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Solution

The third proportional to 54,875 and 84,590 is: 130,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875 : 84,590 = 84,590 : x
  2. Step 2: Convert to fraction form
    54,875/84,590 = 84,590/x
  3. Step 3: Cross multiply
    54,875x = 84,590 × 84,590
  4. Step 4: Simplify right side
    54,875x = 7,155,468,100
  5. Step 5: Solve for x
    x = 7,155,468,100/54,875
  6. Step 6: Final answer
    x = 130,395.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.