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Finding the Third Proportional to 64,560 and 94,870.50

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Solution

The third proportional to 64,560 and 94,870.50 is: 139,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,560 : 94,870.50 = 94,870.50 : x
  2. Step 2: Convert to fraction form
    64,560/94,870.50 = 94,870.50/x
  3. Step 3: Cross multiply
    64,560x = 94,870.50 × 94,870.50
  4. Step 4: Simplify right side
    64,560x = 9,000,411,770.25
  5. Step 5: Solve for x
    x = 9,000,411,770.25/64,560
  6. Step 6: Final answer
    x = 139,411.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.