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Finding the Third Proportional to 88,130 and 136,803

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Solution

The third proportional to 88,130 and 136,803 is: 212,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,130 : 136,803 = 136,803 : x
  2. Step 2: Convert to fraction form
    88,130/136,803 = 136,803/x
  3. Step 3: Cross multiply
    88,130x = 136,803 × 136,803
  4. Step 4: Simplify right side
    88,130x = 18,715,060,809
  5. Step 5: Solve for x
    x = 18,715,060,809/88,130
  6. Step 6: Final answer
    x = 212,357.44

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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.