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Finding the Third Proportional to 91,590 and 144,762

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Solution

The third proportional to 91,590 and 144,762 is: 228,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,590 : 144,762 = 144,762 : x
  2. Step 2: Convert to fraction form
    91,590/144,762 = 144,762/x
  3. Step 3: Cross multiply
    91,590x = 144,762 × 144,762
  4. Step 4: Simplify right side
    91,590x = 20,956,036,644
  5. Step 5: Solve for x
    x = 20,956,036,644/91,590
  6. Step 6: Final answer
    x = 228,802.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.