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Finding the Third Proportional to 65,388 and 101,038.50

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Solution

The third proportional to 65,388 and 101,038.50 is: 156,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,388 : 101,038.50 = 101,038.50 : x
  2. Step 2: Convert to fraction form
    65,388/101,038.50 = 101,038.50/x
  3. Step 3: Cross multiply
    65,388x = 101,038.50 × 101,038.50
  4. Step 4: Simplify right side
    65,388x = 10,208,778,482.25
  5. Step 5: Solve for x
    x = 10,208,778,482.25/65,388
  6. Step 6: Final answer
    x = 156,126.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.