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Finding the Third Proportional to 109,545 and 235,695

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Solution

The third proportional to 109,545 and 235,695 is: 507,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,545 : 235,695 = 235,695 : x
  2. Step 2: Convert to fraction form
    109,545/235,695 = 235,695/x
  3. Step 3: Cross multiply
    109,545x = 235,695 × 235,695
  4. Step 4: Simplify right side
    109,545x = 55,552,133,025
  5. Step 5: Solve for x
    x = 55,552,133,025/109,545
  6. Step 6: Final answer
    x = 507,117.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.