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Finding the Third Proportional to 72,111 and 114,070.50

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Solution

The third proportional to 72,111 and 114,070.50 is: 180,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,111 : 114,070.50 = 114,070.50 : x
  2. Step 2: Convert to fraction form
    72,111/114,070.50 = 114,070.50/x
  3. Step 3: Cross multiply
    72,111x = 114,070.50 × 114,070.50
  4. Step 4: Simplify right side
    72,111x = 13,012,078,970.25
  5. Step 5: Solve for x
    x = 13,012,078,970.25/72,111
  6. Step 6: Final answer
    x = 180,445.13

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.