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Finding the Third Proportional to 61,267.50 and 130,095

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Solution

The third proportional to 61,267.50 and 130,095 is: 276,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,267.50 : 130,095 = 130,095 : x
  2. Step 2: Convert to fraction form
    61,267.50/130,095 = 130,095/x
  3. Step 3: Cross multiply
    61,267.50x = 130,095 × 130,095
  4. Step 4: Simplify right side
    61,267.50x = 16,924,709,025
  5. Step 5: Solve for x
    x = 16,924,709,025/61,267.50
  6. Step 6: Final answer
    x = 276,242.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.