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Finding the Third Proportional to 129,802.50 and 197,140.50

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Solution

The third proportional to 129,802.50 and 197,140.50 is: 299,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,802.50 : 197,140.50 = 197,140.50 : x
  2. Step 2: Convert to fraction form
    129,802.50/197,140.50 = 197,140.50/x
  3. Step 3: Cross multiply
    129,802.50x = 197,140.50 × 197,140.50
  4. Step 4: Simplify right side
    129,802.50x = 38,864,376,740.25
  5. Step 5: Solve for x
    x = 38,864,376,740.25/129,802.50
  6. Step 6: Final answer
    x = 299,411.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.