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Finding the Third Proportional to 109,001 and 235,202

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Solution

The third proportional to 109,001 and 235,202 is: 507,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,001 : 235,202 = 235,202 : x
  2. Step 2: Convert to fraction form
    109,001/235,202 = 235,202/x
  3. Step 3: Cross multiply
    109,001x = 235,202 × 235,202
  4. Step 4: Simplify right side
    109,001x = 55,319,980,804
  5. Step 5: Solve for x
    x = 55,319,980,804/109,001
  6. Step 6: Final answer
    x = 507,518.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.