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Finding the Third Proportional to 111,710 and 243,076

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Solution

The third proportional to 111,710 and 243,076 is: 528,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,710 : 243,076 = 243,076 : x
  2. Step 2: Convert to fraction form
    111,710/243,076 = 243,076/x
  3. Step 3: Cross multiply
    111,710x = 243,076 × 243,076
  4. Step 4: Simplify right side
    111,710x = 59,085,941,776
  5. Step 5: Solve for x
    x = 59,085,941,776/111,710
  6. Step 6: Final answer
    x = 528,922.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.