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Finding the Third Proportional to 115,141 and 169,419.50

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Solution

The third proportional to 115,141 and 169,419.50 is: 249,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,141 : 169,419.50 = 169,419.50 : x
  2. Step 2: Convert to fraction form
    115,141/169,419.50 = 169,419.50/x
  3. Step 3: Cross multiply
    115,141x = 169,419.50 × 169,419.50
  4. Step 4: Simplify right side
    115,141x = 28,702,966,980.25
  5. Step 5: Solve for x
    x = 28,702,966,980.25/115,141
  6. Step 6: Final answer
    x = 249,285.37

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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.