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Finding the Third Proportional to 53,501 and 112,971

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Solution

The third proportional to 53,501 and 112,971 is: 238,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,501 : 112,971 = 112,971 : x
  2. Step 2: Convert to fraction form
    53,501/112,971 = 112,971/x
  3. Step 3: Cross multiply
    53,501x = 112,971 × 112,971
  4. Step 4: Simplify right side
    53,501x = 12,762,446,841
  5. Step 5: Solve for x
    x = 12,762,446,841/53,501
  6. Step 6: Final answer
    x = 238,545.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.