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Finding the Third Proportional to 105,010 and 161,403

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Solution

The third proportional to 105,010 and 161,403 is: 248,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,010 : 161,403 = 161,403 : x
  2. Step 2: Convert to fraction form
    105,010/161,403 = 161,403/x
  3. Step 3: Cross multiply
    105,010x = 161,403 × 161,403
  4. Step 4: Simplify right side
    105,010x = 26,050,928,409
  5. Step 5: Solve for x
    x = 26,050,928,409/105,010
  6. Step 6: Final answer
    x = 248,080.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.