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Finding the Third Proportional to 59,425 and 130,513

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Solution

The third proportional to 59,425 and 130,513 is: 286,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,425 : 130,513 = 130,513 : x
  2. Step 2: Convert to fraction form
    59,425/130,513 = 130,513/x
  3. Step 3: Cross multiply
    59,425x = 130,513 × 130,513
  4. Step 4: Simplify right side
    59,425x = 17,033,643,169
  5. Step 5: Solve for x
    x = 17,033,643,169/59,425
  6. Step 6: Final answer
    x = 286,641.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.