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Finding the Third Proportional to 140,053 and 183,835

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Solution

The third proportional to 140,053 and 183,835 is: 241,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,053 : 183,835 = 183,835 : x
  2. Step 2: Convert to fraction form
    140,053/183,835 = 183,835/x
  3. Step 3: Cross multiply
    140,053x = 183,835 × 183,835
  4. Step 4: Simplify right side
    140,053x = 33,795,307,225
  5. Step 5: Solve for x
    x = 33,795,307,225/140,053
  6. Step 6: Final answer
    x = 241,303.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.