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Finding the Third Proportional to 64,952 and 103,431.50

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Solution

The third proportional to 64,952 and 103,431.50 is: 164,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952 : 103,431.50 = 103,431.50 : x
  2. Step 2: Convert to fraction form
    64,952/103,431.50 = 103,431.50/x
  3. Step 3: Cross multiply
    64,952x = 103,431.50 × 103,431.50
  4. Step 4: Simplify right side
    64,952x = 10,698,075,192.25
  5. Step 5: Solve for x
    x = 10,698,075,192.25/64,952
  6. Step 6: Final answer
    x = 164,707.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.