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Finding the Third Proportional to 113,937 and 183,055.50

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Solution

The third proportional to 113,937 and 183,055.50 is: 294,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,937 : 183,055.50 = 183,055.50 : x
  2. Step 2: Convert to fraction form
    113,937/183,055.50 = 183,055.50/x
  3. Step 3: Cross multiply
    113,937x = 183,055.50 × 183,055.50
  4. Step 4: Simplify right side
    113,937x = 33,509,316,080.25
  5. Step 5: Solve for x
    x = 33,509,316,080.25/113,937
  6. Step 6: Final answer
    x = 294,103.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.