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Finding the Third Proportional to 102,613 and 153,507

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Solution

The third proportional to 102,613 and 153,507 is: 229,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,613 : 153,507 = 153,507 : x
  2. Step 2: Convert to fraction form
    102,613/153,507 = 153,507/x
  3. Step 3: Cross multiply
    102,613x = 153,507 × 153,507
  4. Step 4: Simplify right side
    102,613x = 23,564,399,049
  5. Step 5: Solve for x
    x = 23,564,399,049/102,613
  6. Step 6: Final answer
    x = 229,643.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.