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Finding the Third Proportional to 114,239 and 170,686.50

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Solution

The third proportional to 114,239 and 170,686.50 is: 255,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,239 : 170,686.50 = 170,686.50 : x
  2. Step 2: Convert to fraction form
    114,239/170,686.50 = 170,686.50/x
  3. Step 3: Cross multiply
    114,239x = 170,686.50 × 170,686.50
  4. Step 4: Simplify right side
    114,239x = 29,133,881,282.25
  5. Step 5: Solve for x
    x = 29,133,881,282.25/114,239
  6. Step 6: Final answer
    x = 255,025.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.