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Finding the Third Proportional to 60,386.50 and 130,007

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Solution

The third proportional to 60,386.50 and 130,007 is: 279,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,386.50 : 130,007 = 130,007 : x
  2. Step 2: Convert to fraction form
    60,386.50/130,007 = 130,007/x
  3. Step 3: Cross multiply
    60,386.50x = 130,007 × 130,007
  4. Step 4: Simplify right side
    60,386.50x = 16,901,820,049
  5. Step 5: Solve for x
    x = 16,901,820,049/60,386.50
  6. Step 6: Final answer
    x = 279,894.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.