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Finding the Third Proportional to 86,202 and 132,466.50

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Solution

The third proportional to 86,202 and 132,466.50 is: 203,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202 : 132,466.50 = 132,466.50 : x
  2. Step 2: Convert to fraction form
    86,202/132,466.50 = 132,466.50/x
  3. Step 3: Cross multiply
    86,202x = 132,466.50 × 132,466.50
  4. Step 4: Simplify right side
    86,202x = 17,547,373,622.25
  5. Step 5: Solve for x
    x = 17,547,373,622.25/86,202
  6. Step 6: Final answer
    x = 203,561.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.