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Finding the Third Proportional to 86,160 and 186,157

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Solution

The third proportional to 86,160 and 186,157 is: 402,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,160 : 186,157 = 186,157 : x
  2. Step 2: Convert to fraction form
    86,160/186,157 = 186,157/x
  3. Step 3: Cross multiply
    86,160x = 186,157 × 186,157
  4. Step 4: Simplify right side
    86,160x = 34,654,428,649
  5. Step 5: Solve for x
    x = 34,654,428,649/86,160
  6. Step 6: Final answer
    x = 402,210.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.