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Finding the Third Proportional to 139,748 and 301,624.13

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Solution

The third proportional to 139,748 and 301,624.13 is: 651,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,748 : 301,624.13 = 301,624.13 : x
  2. Step 2: Convert to fraction form
    139,748/301,624.13 = 301,624.13/x
  3. Step 3: Cross multiply
    139,748x = 301,624.13 × 301,624.13
  4. Step 4: Simplify right side
    139,748x = 90,977,112,782.02
  5. Step 5: Solve for x
    x = 90,977,112,782.02/139,748
  6. Step 6: Final answer
    x = 651,008.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.