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Finding the Third Proportional to 110,507 and 169,955.50

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Solution

The third proportional to 110,507 and 169,955.50 is: 261,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,507 : 169,955.50 = 169,955.50 : x
  2. Step 2: Convert to fraction form
    110,507/169,955.50 = 169,955.50/x
  3. Step 3: Cross multiply
    110,507x = 169,955.50 × 169,955.50
  4. Step 4: Simplify right side
    110,507x = 28,884,871,980.25
  5. Step 5: Solve for x
    x = 28,884,871,980.25/110,507
  6. Step 6: Final answer
    x = 261,385.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.