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Finding the Third Proportional to 105,607 and 162,106

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Solution

The third proportional to 105,607 and 162,106 is: 248,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,607 : 162,106 = 162,106 : x
  2. Step 2: Convert to fraction form
    105,607/162,106 = 162,106/x
  3. Step 3: Cross multiply
    105,607x = 162,106 × 162,106
  4. Step 4: Simplify right side
    105,607x = 26,278,355,236
  5. Step 5: Solve for x
    x = 26,278,355,236/105,607
  6. Step 6: Final answer
    x = 248,831.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.