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Finding the Third Proportional to 45,640 and 98,070

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Solution

The third proportional to 45,640 and 98,070 is: 210,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,640 : 98,070 = 98,070 : x
  2. Step 2: Convert to fraction form
    45,640/98,070 = 98,070/x
  3. Step 3: Cross multiply
    45,640x = 98,070 × 98,070
  4. Step 4: Simplify right side
    45,640x = 9,617,724,900
  5. Step 5: Solve for x
    x = 9,617,724,900/45,640
  6. Step 6: Final answer
    x = 210,730.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.