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Finding the Third Proportional to 59,001 and 128,368.50

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Solution

The third proportional to 59,001 and 128,368.50 is: 279,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,001 : 128,368.50 = 128,368.50 : x
  2. Step 2: Convert to fraction form
    59,001/128,368.50 = 128,368.50/x
  3. Step 3: Cross multiply
    59,001x = 128,368.50 × 128,368.50
  4. Step 4: Simplify right side
    59,001x = 16,478,471,792.25
  5. Step 5: Solve for x
    x = 16,478,471,792.25/59,001
  6. Step 6: Final answer
    x = 279,291.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.