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Finding the Third Proportional to 58,546 and 86,803

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Solution

The third proportional to 58,546 and 86,803 is: 128,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,546 : 86,803 = 86,803 : x
  2. Step 2: Convert to fraction form
    58,546/86,803 = 86,803/x
  3. Step 3: Cross multiply
    58,546x = 86,803 × 86,803
  4. Step 4: Simplify right side
    58,546x = 7,534,760,809
  5. Step 5: Solve for x
    x = 7,534,760,809/58,546
  6. Step 6: Final answer
    x = 128,698.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.