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Finding the Third Proportional to 53,670 and 117,706

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Solution

The third proportional to 53,670 and 117,706 is: 258,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,670 : 117,706 = 117,706 : x
  2. Step 2: Convert to fraction form
    53,670/117,706 = 117,706/x
  3. Step 3: Cross multiply
    53,670x = 117,706 × 117,706
  4. Step 4: Simplify right side
    53,670x = 13,854,702,436
  5. Step 5: Solve for x
    x = 13,854,702,436/53,670
  6. Step 6: Final answer
    x = 258,146.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.