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Finding the Third Proportional to 53,010 and 71,739

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Solution

The third proportional to 53,010 and 71,739 is: 97,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,010 : 71,739 = 71,739 : x
  2. Step 2: Convert to fraction form
    53,010/71,739 = 71,739/x
  3. Step 3: Cross multiply
    53,010x = 71,739 × 71,739
  4. Step 4: Simplify right side
    53,010x = 5,146,484,121
  5. Step 5: Solve for x
    x = 5,146,484,121/53,010
  6. Step 6: Final answer
    x = 97,085.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.