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Finding the Third Proportional to 86,700 and 163,032

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Solution

The third proportional to 86,700 and 163,032 is: 306,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,700 : 163,032 = 163,032 : x
  2. Step 2: Convert to fraction form
    86,700/163,032 = 163,032/x
  3. Step 3: Cross multiply
    86,700x = 163,032 × 163,032
  4. Step 4: Simplify right side
    86,700x = 26,579,433,024
  5. Step 5: Solve for x
    x = 26,579,433,024/86,700
  6. Step 6: Final answer
    x = 306,567.85

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.