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Finding the Third Proportional to 72,038.05 and 158,088.70

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Solution

The third proportional to 72,038.05 and 158,088.70 is: 346,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,038.05 : 158,088.70 = 158,088.70 : x
  2. Step 2: Convert to fraction form
    72,038.05/158,088.70 = 158,088.70/x
  3. Step 3: Cross multiply
    72,038.05x = 158,088.70 × 158,088.70
  4. Step 4: Simplify right side
    72,038.05x = 24,992,038,518.89
  5. Step 5: Solve for x
    x = 24,992,038,518.89/72,038.05
  6. Step 6: Final answer
    x = 346,928.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.