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Finding the Third Proportional to 124,146 and 197,275.50

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Solution

The third proportional to 124,146 and 197,275.50 is: 313,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,146 : 197,275.50 = 197,275.50 : x
  2. Step 2: Convert to fraction form
    124,146/197,275.50 = 197,275.50/x
  3. Step 3: Cross multiply
    124,146x = 197,275.50 × 197,275.50
  4. Step 4: Simplify right side
    124,146x = 38,917,622,900.25
  5. Step 5: Solve for x
    x = 38,917,622,900.25/124,146
  6. Step 6: Final answer
    x = 313,482.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.