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Finding the Third Proportional to 58,210 and 86,222

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Solution

The third proportional to 58,210 and 86,222 is: 127,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,210 : 86,222 = 86,222 : x
  2. Step 2: Convert to fraction form
    58,210/86,222 = 86,222/x
  3. Step 3: Cross multiply
    58,210x = 86,222 × 86,222
  4. Step 4: Simplify right side
    58,210x = 7,434,233,284
  5. Step 5: Solve for x
    x = 7,434,233,284/58,210
  6. Step 6: Final answer
    x = 127,714.02

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