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Finding the Third Proportional to 124,149 and 181,927.50

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Solution

The third proportional to 124,149 and 181,927.50 is: 266,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,149 : 181,927.50 = 181,927.50 : x
  2. Step 2: Convert to fraction form
    124,149/181,927.50 = 181,927.50/x
  3. Step 3: Cross multiply
    124,149x = 181,927.50 × 181,927.50
  4. Step 4: Simplify right side
    124,149x = 33,097,615,256.25
  5. Step 5: Solve for x
    x = 33,097,615,256.25/124,149
  6. Step 6: Final answer
    x = 266,595.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.