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Finding the Third Proportional to 60,646.50 and 129,607.88

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Solution

The third proportional to 60,646.50 and 129,607.88 is: 276,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,646.50 : 129,607.88 = 129,607.88 : x
  2. Step 2: Convert to fraction form
    60,646.50/129,607.88 = 129,607.88/x
  3. Step 3: Cross multiply
    60,646.50x = 129,607.88 × 129,607.88
  4. Step 4: Simplify right side
    60,646.50x = 16,798,201,262.02
  5. Step 5: Solve for x
    x = 16,798,201,262.02/60,646.50
  6. Step 6: Final answer
    x = 276,985.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.