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Finding the Third Proportional to 59,715 and 130,918.50

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Solution

The third proportional to 59,715 and 130,918.50 is: 287,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,715 : 130,918.50 = 130,918.50 : x
  2. Step 2: Convert to fraction form
    59,715/130,918.50 = 130,918.50/x
  3. Step 3: Cross multiply
    59,715x = 130,918.50 × 130,918.50
  4. Step 4: Simplify right side
    59,715x = 17,139,653,642.25
  5. Step 5: Solve for x
    x = 17,139,653,642.25/59,715
  6. Step 6: Final answer
    x = 287,024.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.