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Finding the Third Proportional to 103,356 and 146,287.50

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Solution

The third proportional to 103,356 and 146,287.50 is: 207,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,356 : 146,287.50 = 146,287.50 : x
  2. Step 2: Convert to fraction form
    103,356/146,287.50 = 146,287.50/x
  3. Step 3: Cross multiply
    103,356x = 146,287.50 × 146,287.50
  4. Step 4: Simplify right side
    103,356x = 21,400,032,656.25
  5. Step 5: Solve for x
    x = 21,400,032,656.25/103,356
  6. Step 6: Final answer
    x = 207,051.67

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.