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Finding the Third Proportional to 116,835 and 183,037.50

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Solution

The third proportional to 116,835 and 183,037.50 is: 286,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,835 : 183,037.50 = 183,037.50 : x
  2. Step 2: Convert to fraction form
    116,835/183,037.50 = 183,037.50/x
  3. Step 3: Cross multiply
    116,835x = 183,037.50 × 183,037.50
  4. Step 4: Simplify right side
    116,835x = 33,502,726,406.25
  5. Step 5: Solve for x
    x = 33,502,726,406.25/116,835
  6. Step 6: Final answer
    x = 286,752.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.