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Finding the Third Proportional to 103,699 and 160,409

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Solution

The third proportional to 103,699 and 160,409 is: 248,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 160,409 = 160,409 : x
  2. Step 2: Convert to fraction form
    103,699/160,409 = 160,409/x
  3. Step 3: Cross multiply
    103,699x = 160,409 × 160,409
  4. Step 4: Simplify right side
    103,699x = 25,731,047,281
  5. Step 5: Solve for x
    x = 25,731,047,281/103,699
  6. Step 6: Final answer
    x = 248,132.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.