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Finding the Third Proportional to 58,946 and 86,679

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Solution

The third proportional to 58,946 and 86,679 is: 127,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,946 : 86,679 = 86,679 : x
  2. Step 2: Convert to fraction form
    58,946/86,679 = 86,679/x
  3. Step 3: Cross multiply
    58,946x = 86,679 × 86,679
  4. Step 4: Simplify right side
    58,946x = 7,513,249,041
  5. Step 5: Solve for x
    x = 7,513,249,041/58,946
  6. Step 6: Final answer
    x = 127,459.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.