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Finding the Third Proportional to 111,762 and 242,445

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Solution

The third proportional to 111,762 and 242,445 is: 525,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,762 : 242,445 = 242,445 : x
  2. Step 2: Convert to fraction form
    111,762/242,445 = 242,445/x
  3. Step 3: Cross multiply
    111,762x = 242,445 × 242,445
  4. Step 4: Simplify right side
    111,762x = 58,779,578,025
  5. Step 5: Solve for x
    x = 58,779,578,025/111,762
  6. Step 6: Final answer
    x = 525,935.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.