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Finding the Third Proportional to 86,459 and 132,312.50

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Solution

The third proportional to 86,459 and 132,312.50 is: 202,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,459 : 132,312.50 = 132,312.50 : x
  2. Step 2: Convert to fraction form
    86,459/132,312.50 = 132,312.50/x
  3. Step 3: Cross multiply
    86,459x = 132,312.50 × 132,312.50
  4. Step 4: Simplify right side
    86,459x = 17,506,597,656.25
  5. Step 5: Solve for x
    x = 17,506,597,656.25/86,459
  6. Step 6: Final answer
    x = 202,484.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.