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Finding the Third Proportional to 102,803 and 161,304

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Solution

The third proportional to 102,803 and 161,304 is: 253,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,803 : 161,304 = 161,304 : x
  2. Step 2: Convert to fraction form
    102,803/161,304 = 161,304/x
  3. Step 3: Cross multiply
    102,803x = 161,304 × 161,304
  4. Step 4: Simplify right side
    102,803x = 26,018,980,416
  5. Step 5: Solve for x
    x = 26,018,980,416/102,803
  6. Step 6: Final answer
    x = 253,095.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.